6476771664 has 200 divisors, whose sum is σ = 21340009152. Its totient is φ = 1877230080.

The previous prime is 6476771591. The next prime is 6476771731. The reversal of 6476771664 is 4661776746.

6476771664 is a `hidden beast` number, since 6 + 476 + 7 + 7 + 166 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6476771664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318012 + ... + 337764.

Almost surely, 2^6476771664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6476771664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670004576).

6476771664 is an abundant number, since it is smaller than the sum of its proper divisors (14863237488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6476771664 is a wasteful number, since it uses less digits than its factorization.

6476771664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19807 (or 19792 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 6476771664 is about 80478.3925286782. The cubic root of 6476771664 is about 1864.0298474962.

The spelling of 6476771664 in words is "six billion, four hundred seventy-six million, seven hundred seventy-one thousand, six hundred sixty-four".